PROBLEM 12: Determine the equation of the given graph below. 1 23 4,5

Q: Given an equation in x and y, how do you determine if its graph is symmetric with respect to the…

A: Given an equation in x and y. To check the symmetry of the graph with respect to the y-axis,

Q: represents

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Q: Plot the graph of the given equation step by step r = 2cose

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Q: Choose the correct equation for the graph: * 2 -3 -2 -1 0. 12 3 -1 -2 -3

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Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: y-Vx-4-3

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Q: If (a, 2) is a point on the graph of y = 5x + 6 , then what is the value of a? a =

A: Given y=5x+6 (a,2) is point on this equation To find a

Q: . Find the equation of the graph. Oy Y = = x y = -a Oy = r 2y=-²0 I -

A: Topic:- equation of straight line      As we know that equation of line is given by  y= mX +c

Q: Sketch the graph of the equation y − 1 = 3(x + 4)

A: y-1=3(x+4) We need to plot the graph of the equation.

Q: 450 400 350 300 250 200 150 100 50 16 24 28 32 36 12 20 -50 -100 -150 -200 -250 -300 f6) =…

A: Given query is to find equation of the given graph.

Q: What is the equation of the graph? A. y = 4cos (3x) B. y= 4sin (3x) C. y = 3cos (4x) D. y= 3sin (4x)

A: Solve the following

Q: The graph of y = /x is compressed vertically by a factor of Write an equation for this transformed…

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Q: 2 -311 -31/2 31/2 31 91/2 6T 151/2 21m/2 12m

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Q: what is the equation for the given graph in the form of y=AsinBx or y=AcosBx

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Q: Examine the following four equations and the graphs labeled i, ii, iii, and iv. Determine which…

A: (a)  y-32=x-5

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.